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Csch






Mathematica Notation

Traditional Notation









Elementary Functions > Csch[z] > Integration > Indefinite integration > Involving functions of the direct function, hyperbolic and exponential functions > Involving powers of the direct function, hyperbolic and exponential functions > Involving powers of sinh and exp > Involving ep z sinhu(b z) cschnu(c z)





http://functions.wolfram.com/01.23.21.0486.01









  


  










Input Form





Integrate[E^(c (\[Mu] - \[Nu]) z) Sinh[c z]^\[Mu] Csch[c z]^\[Nu], z] == (1/(2 c (\[Mu] - \[Nu]))) E^(c z (\[Mu] - \[Nu])) (1 - E^(-2 c z))^(-\[Mu] + \[Nu]) Sinh[c z]^\[Mu] Csch[c z]^\[Nu] Hypergeometric2F1[-\[Mu] + \[Nu], -\[Mu] + \[Nu], 1 - \[Mu] + \[Nu], E^(-2 c z)]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18